13201000113 has 16 divisors (see below), whose sum is σ = 20137216896. Its totient is φ = 7535400960.

The previous prime is 13201000097. The next prime is 13201000117. The reversal of 13201000113 is 31100010231.

13201000113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13201000113 - 2⁴ = 13201000097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13201000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314256 + ... + 353777.

It is an arithmetic number, because the mean of its divisors is an integer number (1258576056).

Almost surely, 2^13201000113 is an apocalyptic number.

It is an amenable number.

13201000113 is a deficient number, since it is larger than the sum of its proper divisors (6936216783).

13201000113 is an equidigital number, since it uses as much as digits as its factorization.

13201000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668984.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13201000113 its reverse (31100010231), we get a palindrome (44301010344).

The spelling of 13201000113 in words is "thirteen billion, two hundred one million, one hundred thirteen", and thus it is an aban number.